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Series: Convergence Interval

Find the convergence interval of the following series.

x-x^2/2+x^3/3+...+(-1)^(n-1)/n x^n+...

Solution Preview

Solution. Let a(n)=(-1)^(n-1)/n. Then the limit of |a(n)|/|a(n-1)| as n tends to infinity is 1, ...

Solution Summary

A convergence interval for a series is found.

$2.19